1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
15

Line M passes through point (3,1) and is perpendicular to the line of the equation y=3x+4. Which equation describes the graph of

M?
A) y=-3x+16
B) y=-1/3x+2
C)y=-1/3x+4
D)y=1/3x+6
Mathematics
1 answer:
zheka24 [161]3 years ago
8 0

Answer:

y = -1/3x + 2

Step-by-step explanation:

The gradient of the given line is 3 because (y = mx +c where m is the gradient)

Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.

The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.

Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.

To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.

So it would be 1 = (-1/3 x 3) +c

Which would be 1 = -1 +c

And so c = 2

Put everything together and you get y = -1/3x + 2

You might be interested in
Can someone help me
Lemur [1.5K]
Multiplying fractions is just multiplying the numerators together and the denominators together.

\sf\dfrac{4}{7}\times\dfrac{1}{4}\rightarrow\dfrac{4\times 1}{7\times 4}\rightarrow\dfrac{4}{28}\rightarrow\dfrac{1}{7}

\sf\dfrac{4}{7}\times\dfrac{1}{6}\rightarrow\dfrac{4\times 1}{7\times 6}\rightarrow\dfrac{4}{42}\rightarrow\dfrac{2}{21}

To find out which one is bigger, we need a common denominator. The LCM of 7 and 21 is 21, so convert the first fraction into a denominator of 21. 7 goes into 21 three times, multiply this to the numerator and denominator:

\sf\dfrac{1}{7}\rightarrow\dfrac{1\times 3}{7 \times 3}\rightarrow\dfrac{3}{21}

Now just compare the numerators to see which one is bigger.

\sf\dfrac{3}{21}>\dfrac{2}{21} therefore, \sf\dfrac{4}{7}\times\dfrac{1}{4}>\dfrac{4}{7}\times\dfrac{1}{6}
5 0
3 years ago
Find the area of this parallelogram 13cm 15cm 20cm
Georgia [21]

Answer:

260cm²

Step-by-step explanation:

area of this parallelogram 20×13=260cm²

4 0
2 years ago
What is the equation for the line described in #9And #10?
ValentinkaMS [17]

Answer: it is definitely c. y=3x+2

Step-by-step explanation: solve the first equation and then plug in

5 0
2 years ago
Which of the following trigonometric ratios has a value that is undefined?
34kurt

Answer:

csc π.

Step-by-step explanation:

csc π  because  csc = hypotenuse / opposite side  and the opposite side = 0. Anything divided by zero is undefined.

Another way to the same conclusion is:  we know that sin π = 0 and csc π = 1 / sin π = 1 / 0  which is indeterminate.

6 0
3 years ago
Read 2 more answers
Find the measurement of angle 4 when angle 3=7x and 5=3x
Leya [2.2K]
Angle 4 will be 54°

because angle 3 and angle 5 will add to equal 180. from that we find x=18. angle 4 and and 5 and the same so 3(18) equals 54
3 0
2 years ago
Other questions:
  • The cone of the volcano has a height of 405 meters and a diameter of 438 meters. find the volume of the cone. round your answer
    10·1 answer
  • What is 645 divided by 5
    12·3 answers
  • Cheryl collected data for her mathematics project. She noted that the data set was approximately normal. Select the statement th
    12·1 answer
  • Hi, thx for helping​
    13·1 answer
  • A race walker completed a 13 mile walk in 2.5 hours. What is the walker's speed per hour?
    9·1 answer
  • Bella works at the grocery store and has 453 oranges to fit into 17 boxes. She fills all of the boxes with exactly the same numb
    7·2 answers
  • What is the value of n in the equation below?<br> a<br> O 3<br> O 6<br> O 12<br> 0 27
    12·1 answer
  • A new plasma-screen television has purchase price of 4980 if sales tax on this purchase is 398.40 find the sales tax rate
    13·2 answers
  • HELPPP ASAPPPPPPP !!!!!!
    9·1 answer
  • Calculate the average rate of change for the function
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!